This vaccine is different in a number of ways. First, the other vaccines are for diseases/illnesses that are communicable in the air or by touch. Everyone is vulnerable to getting those illnesses.
HPV is a sexually transmitted disease.
With all vaccines you have to weigh the benefits of the vaccine against the risks.
For example, my girls got the DPT shot because they almost died of a respiratory illness (RSV) when they were babies. The doctors said they would probably die if they caught whooping cough, and there has been lots of whooping cough in California. So there is a huge benefit of taking the DPT shot, and we determined it was well worth the risk of the side-effects.
For gardisil, my girls (who are now 14) are not sexually active. There is no benefit to them getting the shot at this time. There will be a benefit later on when they are sexually active, but not now. The risks for this vaccine for outweigh the benefits of this vaccine at this time.